Research Papers: Hydrodynamic Lubrication

A Lattice-Boltzmann Approach to Fluid Film Lubrication

[+] Author and Article Information
Bogdan R. Kucinschi1

Department of Mechanical, Industrial, and Manufacturing Engineering, University of Toledo, Toledo, OH 43606bkucinsc@eng.utoledo.edu

Abdollah A. Afjeh

Department of Mechanical, Industrial, and Manufacturing Engineering, University of Toledo, Toledo, OH 43606aafjeh@utnet.utoledo.edu


Corresponding author.

J. Tribol 132(2), 021705 (Apr 22, 2010) (7 pages) doi:10.1115/1.4000694 History: Received May 08, 2009; Revised November 12, 2009; Published April 22, 2010; Online April 22, 2010

This paper deals with the application of the lattice-Boltzmann method (LBM) to fluid-film lubrication. Compared with the traditional computational approach in lubrication (based on Reynolds equation), LBM does not neglect inertia forces. The implementation of LBM is less demanding than that of the Navier–Stokes solvers for complex geometric configurations. Various wall boundary conditions, as well as the multiple relaxation time model, are discussed. Bearing cavitation is approached in a simplified manner. The LBM solutions for two classic configurations are compared with the corresponding analytic and numeric solutions of the Reynolds or Navier–Stokes equations. The LBM results were satisfactory for the investigated cases.

Copyright © 2010 by American Society of Mechanical Engineers
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Figure 1

The two-dimensional, nine-velocity lattice

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Figure 2

Illustration of the intersection of the lattice with a wall: in this example, the intersection point C is situated on the link in direction 5 (see Fig. 1) such that the scatter occurs on the opposite direction, which was direction 7

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Figure 3

Simplified representation of the grid for the plane slider in Sec. 3

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Figure 4

Pressure distribution inside a cavitated journal bearing (n=1000 rpm), which was computed using the LBGK model and a finite element algorithm (23)



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